What is the 1975th prime number?
The 1975th prime number is 17137. The next prime is 17159 (a gap of 22) and the one before is 17123.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1975th one is 17137.
- 2
17137 is prime because no prime up to ā17137 ā 130.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1975th prime is close to 1975 Ć ln(1975) ā 14987, and here it is 17137.
- 4
17137 has no twin: neither 17135 nor 17139 is prime.
Primes around the 1975th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1972 | 17107 | 8 |
| 1973 | 17117 | 10 |
| 1974 | 17123 | 6 |
| 1975 | 17137 | 14 |
| 1976 | 17159 | 22 |
| 1977 | 17167 | 8 |
| 1978 | 17183 | 16 |
Questions
What is the 1975th prime number?
17137.
Which prime number is 17137?
17137 is the 1975th prime number.
What is the sum of the first 1975 primes?
15,842,624.